3(x-3)2=3(3x-10)

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Solution for 3(x-3)2=3(3x-10) equation:


Simplifying
3(x + -3) * 2 = 3(3x + -10)

Reorder the terms:
3(-3 + x) * 2 = 3(3x + -10)

Reorder the terms for easier multiplication:
3 * 2(-3 + x) = 3(3x + -10)

Multiply 3 * 2
6(-3 + x) = 3(3x + -10)
(-3 * 6 + x * 6) = 3(3x + -10)
(-18 + 6x) = 3(3x + -10)

Reorder the terms:
-18 + 6x = 3(-10 + 3x)
-18 + 6x = (-10 * 3 + 3x * 3)
-18 + 6x = (-30 + 9x)

Solving
-18 + 6x = -30 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
-18 + 6x + -9x = -30 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-18 + -3x = -30 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + -3x = -30 + 0
-18 + -3x = -30

Add '18' to each side of the equation.
-18 + 18 + -3x = -30 + 18

Combine like terms: -18 + 18 = 0
0 + -3x = -30 + 18
-3x = -30 + 18

Combine like terms: -30 + 18 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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